31.34.Part B
(B) Expressed parametrically, x = sin 3θ cos θ, y = sin 3θ sin θ. is
undefined where sin θ + 3 cos 3θ cos θ = 0.Use your calculator to solve for θ.
CALCULATOR TIP: Graph in function mode: y = −sin(3x) · sin(x) +
3cos(3x) · cos(x), and find the roots (zeros) of the function on the interval(C) See the figure below.The roots of f (x) = x^2 − 4x − 5 = (x − 5)(x + 1) are x = −1 and 5. Since
areas A and B are equal, therefore, Thus,